Search a number
-
+
8923047072 = 253972234297
BaseRepresentation
bin10000100111101101…
…01110010010100000
3212000212021202102220
420103312232102200
5121233300001242
64033231511040
7434056435332
oct102366562240
925025252386
108923047072
113869911375
121890388480
13ac2848b14
14609103452
1537357abec
hex213dae4a0

8923047072 has 96 divisors (see below), whose sum is σ = 23776123392. Its totient is φ = 2929803264.

The previous prime is 8923047071. The next prime is 8923047137. The reversal of 8923047072 is 2707403298.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8923047071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2074428 + ... + 2078724.

It is an arithmetic number, because the mean of its divisors is an integer number (247667952).

Almost surely, 28923047072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8923047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11888061696).

8923047072 is an abundant number, since it is smaller than the sum of its proper divisors (14853076320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8923047072 is a wasteful number, since it uses less digits than its factorization.

8923047072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 8923047072 is about 94461.8815819376. The cubic root of 8923047072 is about 2074.1383810929.

The spelling of 8923047072 in words is "eight billion, nine hundred twenty-three million, forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 223 291 388 446 582 669 776 892 1164 1338 1552 1784 2328 2676 3104 3568 4297 4656 5352 7136 8594 9312 10704 12891 17188 21408 21631 25782 34376 43262 51564 64893 68752 86524 103128 129786 137504 173048 206256 259572 346096 412512 416809 519144 692192 833618 958231 1038288 1250427 1667236 1916462 2076576 2500854 2874693 3334472 3832924 5001708 5749386 6668944 7665848 10003416 11498772 13337888 15331696 20006832 22997544 30663392 40013664 45995088 91990176 92948407 185896814 278845221 371793628 557690442 743587256 1115380884 1487174512 2230761768 2974349024 4461523536 8923047072